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Finding the Fourth Proportional to 2,490, 3,735.02 and 641.12

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Solution

The fourth proportional to 2,490, 3,735.02 and 641.12 is: 961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490 : 3,735.02 = 641.12 : x
  2. Step 2: Convert to fraction form
    2,490/3,735.02 = 641.12/x
  3. Step 3: Cross multiply
    2,490x = 3,735.02 × 641.12
  4. Step 4: Simplify right side
    2,490x = 2,394,574.14
  5. Step 5: Solve for x
    x = 2,394,574.14/2,490
  6. Step 6: Final answer
    x = 961.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.